System of Particles and Rotational Motion — Syllabus
AP EAPCET · Physics
Topics covered in System of Particles and Rotational Motion for AP EAPCET Physics. Understand the syllabus structure and key areas to focus on.
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Topics covered in System of Particles and Rotational Motion for AP EAPCET Physics.
Topics in System of Particles and Rotational Motion
Center of Mass
- Center of mass is the point where entire mass of the system appears to be concentrated
- For two particles: x_CM = (m₁x₁ + m₂x₂)/(m₁ + m₂)
- For n-particle system: R_CM = Σmᵢrᵢ/M where M is total mass
Angular Velocity and Angular Momentum
- Angular velocity ω is rate of change of angular position
- Relation between linear and angular velocity: v = ω × r
- Angular momentum L = r × p = mvr sin θ
Torque and Rotational Dynamics
- Torque τ = r × F is rotational analog of force
- τ = rF sin θ = r⊥F = rF⊥
- Net torque equals rate of change of angular momentum: τ = dL/dt
Moment of Inertia
- Moment of inertia I is rotational analog of mass
- For particles: I = Σmᵢrᵢ²
- For continuous bodies: I = ∫r² dm
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System of Particles and Rotational Motion — formula sheet
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